GCD of 984, 457, 39, 791 Calculator

Given Input numbers are 984, 457, 39, 791

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 984, 457, 39, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 457, 39, 791 is 1.

Therefore, GCD of numbers 984, 457, 39, 791 is 1

Given Input Data is 984, 457, 39, 791

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 457 is 457

Prime Factorization of 39 is 3 x 13

Prime Factorization of 791 is 7 x 113

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(984, 457) = 449688

GCD(984, 457) = ( 984 x 457 ) / 449688

GCD(984, 457) = 449688 / 449688

GCD(984, 457) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 39

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 39) = 39

GCD(1, 39) = ( 1 x 39 ) / 39

GCD(1, 39) = 39 / 39

GCD(1, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 984, 457, 39, 791 is 1

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1. What is the GCD of 984, 457, 39, 791?

GCD of 984, 457, 39, 791 is 1

2. Where do I get the detailed procedure to find GCD of 984, 457, 39, 791?

You can find a detailed procedure to find GCD of 984, 457, 39, 791 on our page.

3. How to find GCD of 984, 457, 39, 791 on a calculator?

You can find the GCD of 984, 457, 39, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.